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Beliebt Rechnen >

derivative of (2x^2+1^4)

Lösung

\frac{d}{d x} ((2 x^{2} + 1)^{4})

Lösung

16 x (2 x^{2} + 1)^{3}

Schritte zur Lösung

\frac{d}{d x} ((2 x^{2} + 1)^{4})

Wende die Kettenregel an:

4 (2 x^{2} + 1)^{3} \frac{d}{d x} (2 x^{2} + 1)

= 4 (2 x^{2} + 1)^{3} \frac{d}{d x} (2 x^{2} + 1)

\frac{d}{d x} (2 x^{2} + 1) = 4 x

= 4 (2 x^{2} + 1)^{3} \cdot 4 x

Vereinfache

= 16 x (2 x^{2} + 1)^{3}

Graph

Beliebte Beispiele

(d^2)/(dx^2)(e^{-x})

\frac{d ^{2}}{d x ^{2}} (e^{- x})

y^'=e^{2x-1}*y^2

y^{^{'}} = e^{2 x - 1} \cdot y^{2}

integral from 0 to 2 of 2x^2

\int_{0}^{2} 2 x^{2} d x

derivative of sqrt(1-2x^2)

\frac{d}{d x} (1 - 2 x^{2})

derivative of (sqrt(x)/(x^3+1))

\frac{d}{d x} (\frac{x}{x ^{3} + 1})